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Algebra of Symmetries of Three-Frequency Resonance: Reduction of a Reducible Case to an Irreducible Case
- Source :
- Mathematical Notes. 104:833-847
- Publication Year :
- 2018
- Publisher :
- Pleiades Publishing Ltd, 2018.
-
Abstract
- For the three-frequency quantum resonance oscillator, the reducible case, where the frequencies are integer and at least one pair of frequencies has a nontrivial common divisor, is studied. It is shown how the description of the algebra of symmetries of such an oscillator can be reduced to the irreducible case of pairwise coprime integer frequencies. Polynomial algebraic relations are written, and irreducible representations and coherent states are constructed.
- Subjects :
- Polynomial
Reduction (recursion theory)
010304 chemical physics
Coprime integers
General Mathematics
010102 general mathematics
01 natural sciences
Algebra
Integer
Irreducible representation
0103 physical sciences
Homogeneous space
Greatest common divisor
Coherent states
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 15738876 and 00014346
- Volume :
- 104
- Database :
- OpenAIRE
- Journal :
- Mathematical Notes
- Accession number :
- edsair.doi...........e943fc5b0899ca23b02350e388ec6b60